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Finding the Fourth Proportional to 509,481.70, 763,226.04 and 419,653.37

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Solution

The fourth proportional to 509,481.70, 763,226.04 and 419,653.37 is: 628,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,481.70 : 763,226.04 = 419,653.37 : x
  2. Step 2: Convert to fraction form
    509,481.70/763,226.04 = 419,653.37/x
  3. Step 3: Cross multiply
    509,481.70x = 763,226.04 × 419,653.37
  4. Step 4: Simplify right side
    509,481.70x = 320,290,383,239.52
  5. Step 5: Solve for x
    x = 320,290,383,239.52/509,481.70
  6. Step 6: Final answer
    x = 628,659.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.